Discrete time and continuous time: Difference between revisions

Revision as of 20:24, 21 April 2022

Latest revision as of 10:14, 7 July 2025

(11 intermediate revisions by 11 users not shown)

Line 1:

{{Short description|Frameworks for modeling variables that evolve over time}}

{{redirect-distinguish|Discrete signal|Discrete variable}}

In [[Dynamical system|mathematical dynamics]], '''discrete time''' and '''continuous time''' are two alternative frameworks within which [[Variable (mathematics)|variables]] that evolve over time are modeled.

In [[Dynamical system|mathematical dynamics]], '''discrete time''' and '''continuous time''' are two alternative frameworks within which [[Variable (mathematics)|variables]] that evolve over time are modeled.

==Discrete time==

Line 17 ⟶ 19:

==Continuous time==

In contrast, '''continuous time''' views variables as having a particular value only for potentially only an [[infinitesimal]]ly short amount of time. Between any two points in time there are an [[infinity|infinite]] number of other points in time. The variable "time" ranges over the entire [[real number line]], or depending on the context, over some subset of it such as the non-negative reals. Thus time is viewed as a [[continuous variable]].

A '''continuous signal''' or a '''continuous-time signal''' is a varying [[quantity]] (a [[signal (information theory)|signal]])